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sergey [27]
2 years ago
14

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

Mathematics
2 answers:
Sholpan [36]2 years ago
6 0
Transpose all the terms in the left hand side of the equation. The equation then becomes,
                         8x²  - 22x - 6 =0
Divide both sides of the equation by 2,
                        4x² - 11x - 3 = 0 

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
                         x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
                        <em> x = 3 and x = -1/4
</em>
<em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
bogdanovich [222]2 years ago
6 0

Answer:

b and c

Step-by-step explanation:

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Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X
tresset_1 [31]

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

 

<span>Therefore 40 lbs of upward force must be pushed to open the valve.</span>

<span>Answer: B</span>

3 0
2 years ago
Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio
icang [17]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

8 0
1 year ago
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Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
Aloiza [94]

Answer:

36

Step-by-step explanation:

if it is two hours then half of it is 9

so 18 + 9 = 27 which is how many miles she biked

6 is the number of miles she ran

so u times it by 1.5

27 + 9 = 36

4 0
2 years ago
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Seamus has a truck of chairs and tables for a party. There are 8 times as many chairs as tables, for a total of 56 chairs in the
DIA [1.3K]

Answer:

7

Step-by-step explanation:

3 0
1 year ago
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